Concept explainers
(a)
Find the value of polarization
(a)
Answer to Problem 42P
The value of polarization vector is
Explanation of Solution
Calculation:
Consider the general formula for polarization.
Consider the general formula for permittivity of the dielectric.
Substitute
Substitute 3 for
Substitute
Conclusion:
Thus, the value of polarization vector is
(b)
Find the value of electric field
(b)
Answer to Problem 42P
The value of electric field is
Explanation of Solution
Calculation:
Consider the general formula for permittivity of the dielectric.
Substitute
Consider the general expression for normal component of the electric flux density.
Find the value of normal component of the electric field.
Substitute
Therefore,
Substitute
Find the tangential component of electric field for the first dielectric.
Substitute
As the tangential component of electric field are continuous at the dielectric interface, therefore,
Find the total electric field in the second dielectric.
Substitute
Find the angle made by the electric field
Conclusion:
Thus, the value of electric field is
(c)
Calculate the energy density in each region.
(c)
Answer to Problem 42P
The energy density in region 1 and region 2 is
Explanation of Solution
Calculation:
Find the energy density in region 1.
Substitute 3 for
Find the energy density in region 2.
Substitute 4.5 for
Conclusion:
Thus, the energy density in region 1 and region 2 is
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Chapter 5 Solutions
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